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and if the sum of the Y^(i)-hats over i equals the sum
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of the E^(i)_Y's.
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of the E^(i)_Y's.
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That's the theorem.
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That's the theorem.
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So we've totally weakened the definition of equilibrium.
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So we've totally weakened the definition of equilibrium.
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So it might be that if this is the competitive allocation if
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So it might be that if this is the competitive allocation if
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you look at this line this is same sum of utilities,
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you look at this line this is same sum of utilities,
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because if this slope is -1 and here's the utility to B and the